Information on Result #904582
Linear OOA(8182, 4194383, F81, 2, 19) (dual of [(4194383, 2), 8388684, 20]-NRT-code), using (u, u+v)-construction based on
- linear OOA(819, 82, F81, 2, 9) (dual of [(82, 2), 155, 10]-NRT-code), using
- extended Reed–Solomon NRT-code RSe(2;155,81) [i]
- linear OOA(8173, 4194301, F81, 2, 19) (dual of [(4194301, 2), 8388529, 20]-NRT-code), using
- OOA 2-folding [i] based on linear OA(8173, 8388602, F81, 19) (dual of [8388602, 8388529, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 21523361 | 818−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- discarding factors / shortening the dual code based on linear OA(8173, large, F81, 19) (dual of [large, large−73, 20]-code), using
- OOA 2-folding [i] based on linear OA(8173, 8388602, F81, 19) (dual of [8388602, 8388529, 20]-code), using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OOA(8182, 2097191, F81, 4, 19) (dual of [(2097191, 4), 8388682, 20]-NRT-code) | [i] | OOA Folding | |